Math Problem Statement

A manufacturing company monitors the downtimes on its key fabricating machines. Data for the downtimes on one particular machine are given in the accompanying data table. Assuming that the downtimes are exponentially​ distributed, use the data to find the probability that a specific downtime will exceed

0.90.9

minuteminute.

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Part 1

The probability that a specific downtime will exceed

0.90.9

minuteminute

is

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Solution

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Math Problem Analysis

Mathematical Concepts

Probability Theory
Exponential Distribution

Formulas

P(X > x) = e^(-λx)

Theorems

Exponential Distribution Theorem
Mean and Rate Parameter Relationship

Suitable Grade Level

Undergraduate